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87869363785956 = 2232857218232
BaseRepresentation
bin10011111110101010101110…
…001101110001000011100100
3102112010020012001011011021100
4103332222232031301003210
543004122424112122311
6510514343425120100
724336231514464024
oct2376525615610344
9375106161134240
1087869363785956
1125aa8208120215
129a31808189030
133a05078b1672c
14179ac85475a84
15a25a3cc67a56
hex4feaae3710e4

87869363785956 has 81 divisors (see below), whose sum is σ = 222495753204361. Its totient is φ = 29239562754624.

The previous prime is 87869363785933. The next prime is 87869363786027. The reversal of 87869363785956 is 65958736396878.

The square root of 87869363785956 is 9373866.

It is a perfect power (a square), and thus also a powerful number.

87869363785956 is a `hidden beast` number, since 8 + 7 + 8 + 6 + 9 + 3 + 6 + 3 + 7 + 8 + 595 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81429868822500 + 6439494963456 = 9023850^2 + 2537616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48200418061 + ... + 48200419883.

Almost surely, 287869363785956 is an apocalyptic number.

87869363785956 is the 9373866-th square number.

It is an amenable number.

87869363785956 is an abundant number, since it is smaller than the sum of its proper divisors (134626389418405).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87869363785956 is an frugal number, since it uses more digits than its factorization.

87869363785956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 2685 counting only the distinct ones).

The product of its digits is 98761420800, while the sum is 90.

The spelling of 87869363785956 in words is "eighty-seven trillion, eight hundred sixty-nine billion, three hundred sixty-three million, seven hundred eighty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 857 1714 1823 2571 3428 3646 5142 5469 7292 7713 10284 10938 15426 16407 21876 30852 32814 65628 734449 1468898 1562311 2203347 2937796 3124622 3323329 4406694 4686933 6249244 6610041 6646658 8813388 9373866 9969987 13220082 13293316 14060799 18747732 19939974 26440164 28121598 29909961 39879948 56243196 59819922 119639844 1338900527 2677801054 2848092953 4016701581 5355602108 5696185906 8033403162 8544278859 11392371812 12050104743 16066806324 17088557718 24100209486 25632836577 34177115436 48200418972 51265673154 102531346308 2440815660721 4881631321442 7322446982163 9763262642884 14644893964326 21967340946489 29289787928652 43934681892978 87869363785956